Optimization of Bolza problem for third-order polyhedral delay-differential inclusions with state constraints
CitationDemir Sağlam, S. ve Mahmudov, N. E. (2021). Optimization of Bolza problem for third-order polyhedral delay-differential inclusions with state constraints. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.
The present paper studies a Bolza problem of optimal control theory with third-order polyhedral delay-differential inclusions and state constraints. We aim to establish well verifiable sufficient conditions of optimality for the polyhedral thirdorder delay-differential inclusions. Discrete-approximate inclusions are investigated using the method of discretization to ensure the transition to a continuous problem. The idea for obtaining sufficient conditions of the problem is based on passing the formal limit on the optimality conditions of the discrete-approximation problem. Thus, the sufficient conditions are formulated by using polyhedral Euler-Lagrange inclusions and the distinctive “transversality” conditions.
SourceFourth International Conference of Mathematical Sciences
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